Enhanced Kauffman bracket

Abstract

S. Nelson, M. Orrison, V. Rivera {\cite{S}} modified Kauffman's construction of bracket. Their invariant ${\Phi }_X^{\beta }$ takes value in a finite ring $Z_2[t]/(1+t+t^3)$. In this paper, the author generalizes this invariant. The new invariant takes value in a polynomial ring. Furthermore, for a tricolorable link diagram, the author gives a bracket invariant which gives lower bound on number of crossings with different (same) colors.

12 pages, 10 figures

References in corpus (1)

• Quantum Enhancements and Biquandle Brackets

Cited by in corpus (1)

• The Structure of Biquandle Brackets